{
 "tm": "1RB0RE_1RC0RA_0LD0RB_1LA0LE_1LC1LF_0LC---",
 "label": "W5-5",
 "status": "KILLED_HALT",
 "stage": "done",
 "updated": "2026-10-14",
 "reason": "check_kill --halt PASS, independently re-verified",
 "confidence": "high",
 "killed_at": "2026-10-13T17:33:25Z",
 "template": "verify/Sk1Machines.v Module Sk1Auto (checked certificate runner: one step iterated by Eqb.N_iter_until, proved sound with N_iter_until_spec); block rules crossed with shift_rule_L/R of verify/Individual62.v",
 "halt_steps": {
  "exact": "1816824067232869945",
  "approx": "1.817e18",
  "convention": "steps including the halting transition (tools/sim convention); busycoq halts_in n = exact - 1",
  "busycoq_halts_in_n": "1816824067232869944",
  "proven_in_coq": false,
  "basis": "per-cycle step formulas (eat cost affine in c, rounds 12b + h, clean batches by congruences) summed over the same run in three independent counts (work/steps_exact/ Python + C, work/indep/); formulas validated against direct TM runs (all 1,573 cycle starts to 3e10, 14 whole cycles, the whole halting cycle = 108,456,557,258 steps, every eat at its real c); the .v proves halts tm c0 only",
  "lower_bound": "1816798040775616704",
  "halting_cycle": 611577,
  "halting_cycle_start_step": "1816823958776312687",
  "halting_round_in_cycle": 7435
 },
 "eqv_partners": [
  "1LB0LE_1RC0RE_1RD0RB_0LA0RC_1LD1LF_0LD---",
  "1LB1LF_0LC0RE_1LD0LA_1RE0RA_1RB0RD_0LB---",
  "1RB0RE_0LC0RA_1LE0LD_1LB1LF_1RA0RD_0LB---",
  "1LB0RC_1LC0LA_0RD0LB_1RA0RE_1RC1RF_0RC---",
  "1LB0RC_1LC0LA_0RD0LB_1RA0RE_1RC0RF_1LD---"
 ],
 "eqv_note": "Eqv_v2 TM291, TM392, TM1913 prove the first three equivalent to this string (tm'); Eqv_v3 TM558, TM605 prove the last two equivalent to its mirror 1LB0LE_1LC0LA_0RD0LB_1RA0RE_1RC1RF_0RC---. So all five halt. None is on the 740 list.",
 "proof": {
  "file": "proof.md",
  "public": "submission/proof.md",
  "writeup_lint": "0 errors, 0 warnings",
  "note": "written after the .v (the formalization followed rocq-plan.md and the stage notes)"
 },
 "kill": {
  "file": "1RB0RE_1RC0RA_0LD0RB_1LA0LE_1LC1LF_0LC---.v",
  "theorem": "halt : halts tm c0",
  "sha256": "5b83f5b1511a76ab796413c74d7789dfe120faeec07f57a4aa07e271cf833f39",
  "lines": 2976,
  "audited_sha256": "851ca6952fc7625758d7cfae23e62e7ecff255588bdc05f6c45e1f2a0b60ea92",
  "audited_note": "the first independent audit verified sha256 851ca695...0ea92; the 10-13 shipped file 866a5226...27f4 differed only in the comment on line 699 ('chunks of about 200,000' -> '400,000 macro steps'), diff checked, and is the sha GPT-6 Astra's audit reviewed; the current file 5b83f5b1...3f39 differs from 866a5226 only in the header comment (2026-10-14, see header_note: one line became two, so the file has 2,976 lines and every line after 25 moved down by one); the fresh check_kill below is on the current file",
  "check_kill": {
   "result": "PASS",
   "mode": "halt",
   "checked_at": "2026-10-14T16:37:56Z",
   "compile_s": 607.09,
   "native_compiler": "yes",
   "coqchk": "timeout",
   "coqchk_s": 600.13,
   "coqchk_cap_s": 600,
   "coqchk_note": "policy A: coqchk timeout is a warning; the 751 vm_check_eq chunks rest on coqc's kernel check at Qed (VM trusted, not re-checked by coqchk). A full coqchk would need several hours (3-chunk prefix: 31 s for 600k macro steps; 300.6M in all).",
   "assumptions": [],
   "log": "submission/check_kill.txt",
   "earlier_runs": "2026-10-13T18:31:15Z PASS on sha256 866a5226...27f4 (compile 613.11 s, coqchk timeout); rocq/check_kill_r1.log (formalizer, PASS, compile 609.7 s, coqchk timeout) and the independent audit run (PASS, compile 615.9 s, coqchk timeout), both on the audited sha256"
  },
  "run": {
   "checker_moves": 4942483,
   "chunks": 751,
   "eats": 611578,
   "batches": 2234211,
   "simulated_rounds": 2096694,
   "macro_steps": 300612334
  },
  "submission": "submission/",
  "discord": "none written (task: no Discord message); not posted",
  "previous_sha256": "866a52260022e4db64dfe3a3eaedb666441e097d4b1ed1af9ac1c01450a027f4",
  "astra_audit_sha256": "866a52260022e4db64dfe3a3eaedb666441e097d4b1ed1af9ac1c01450a027f4",
  "header_note": "2026-10-14: header comment corrected per GPT-6 Astra's audit patch (4,942,482 -> 4,942,483 iterations; disclosure names Anthropic and Astra's audit corrections); comments only. Astra's audit record stays on sha256 866a5226...27f4; the fresh check_kill below is on the new bytes."
 },
 "funded": {
  "option": "certify",
  "date": "2026-10-13",
  "decision": "decisions/2026-10-13-certify.json"
 },
 "siblings": [],
 "family_note": "No other 740-list machine shares the table (canon over all 6 starts, renaming + mirror). This string is tm' of Eqv_v2 TM291 (and two more Eqv_v2 modules) and its mirror appears in Eqv_v3, so a proof would also cover those equivalence partners; none of them is proved.",
 "checks": {
  "byte_exact_740": "line 29",
  "claims": "none (sheet rows carry only the class/notes; no Discord hit)",
  "upstream_9cf9e88": "not proved"
 },
 "halt_prediction": {
  "cycle": 611577,
  "c_at_cycle_start": 1218828,
  "k0_word": "010111100100001101000000000001001000101",
  "start_config": "0^inf 010111100100001101000000000001001000101 0 E> 101 0001 (001)^1218828 0^inf",
  "post_eat_word": "101111001000011010000000",
  "halting_round_in_cycle": 7435,
  "direct_steps_from_cycle_start": "108456557258 (tools/sim convention, halting transition counted)",
  "approx_total_steps": "1.82e18 (sum of 6R(R+1) over cycles = 1.8168e18, plus lower-order terms)",
  "basis": "scripts/fastabs2.c (cycle simulator), scripts/check_cycles.py (independent), scripts/directk0.c (direct final cycle); work/abstract_cycles_sampled.txt",
  "model_steps_final_cycle": "108456557258 (scripts/steps_chunk.py), equal to the direct run"
 },
 "outcome": "halts (certified in Coq: Lemma halt: halts tm c0)"
}